Séminaire d'arithmétique à Lyon

Average values of automorphic L-functions on GL(n)

par Jeanine Van Order (Bielefeld)

Europe/Paris
Salle A1 (UMPA, ENS de Lyon)

Salle A1

UMPA, ENS de Lyon

Description
I will explain a conjecture concerning values of GL(n) automorphic L-functions twisted by Dirichlet characters, with emphasis on the case of cohomological representations. After that, I will explain the situation with characters of prime-power modulus, and how one can use certain calculations with the Voronoi summation formula for GL(n) to obtain some results in this direction.